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Finding the Third Proportional to 176,196,368 and 386,275,216

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Solution

The third proportional to 176,196,368 and 386,275,216 is: 846,830,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196,368 : 386,275,216 = 386,275,216 : x
  2. Step 2: Convert to fraction form
    176,196,368/386,275,216 = 386,275,216/x
  3. Step 3: Cross multiply
    176,196,368x = 386,275,216 × 386,275,216
  4. Step 4: Simplify right side
    176,196,368x = 149,208,542,495,846,656
  5. Step 5: Solve for x
    x = 149,208,542,495,846,656/176,196,368
  6. Step 6: Final answer
    x = 846,830,977.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.